Physics
Fluid-Mechanics
Easy

Question

A cylinder containing water up to a height of 25 cm has a hole of cross-section 1 fourth c m squared  in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight when water begins to flow out?

  1. Increase of 12.5 qwt
  2. Increase of 6.25 gwt
  3. Decrease of 12.5 gwt
  4. Decrease of 6.25 gwt

The correct answer is: Decrease of 12.5 gwt


    Let A = The area of cross section of the hole
    v = Initial velocity of efflux
    d = Density of water
    equals 2 A d g h equals 2 cross times open parentheses 1 fourth close parentheses cross times 1 cross times 980 cross times 25 equals 12.5 g m minus w t

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